logarithms

If x satisfies the equation $4^{8x} = 256$, then x is equal to ________.

Let $a = 30!, b = 50!$, and $c = 100!$. Consider the following numbers: $\log_a c, \log_c a, \log_b a, \log_a b$ Which one of the following inequalities is CORRECT?

Let a = 30! , b = 50! , and c = 100! . Consider the following numbers: log a c, log c a, log b a, log a b Which one of the following inequalities is CORRECT?

For non-negative integers, a, b, c, what would be the value of a + b + c if log a + log b + log c = 0?

Given that $\frac{\log P}{y-z} = \frac{\log Q}{z-x} = \frac{\log R}{x-y} = 10$ for $x \neq y \neq z$, what is the value of the product PQR?

Given that $${{\log \,P} \over {y - z}} = {{\log \,Q} \over {z - x}} = {{\log \,R} \over {x - y}} = 10$$ for $$x \ne y \ne z$$, what is the value of the product PQR?

For non-negative integers, a, b, c, what would be the value of a + b + c if $$$\log \,a\, + \,\log \,b\, + \,\log \,c\, = \,0?$$$